72540720 has 240 divisors, whose sum is σ = 286678080. Its totient is φ = 16091136.

The previous prime is 72540709. The next prime is 72540731. The reversal of 72540720 is 2704527.

It is an interprime number because it is at equal distance from previous prime (72540709) and next prime (72540731).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186286 + ... + 186674.

It is an arithmetic number, because the mean of its divisors is an integer number (1194492).

Almost surely, 2^72540720 is an apocalyptic number.

72540720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72540720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143339040).

72540720 is an abundant number, since it is smaller than the sum of its proper divisors (214137360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72540720 is a wasteful number, since it uses less digits than its factorization.

72540720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 72540720 is about 8517.0840080394. The cubic root of 72540720 is about 417.0555970244.

The spelling of 72540720 in words is "seventy-two million, five hundred forty thousand, seven hundred twenty".